Respuesta :
The product of this radical is [tex]72000\sqrt{10}[/tex]
The given question requires us to perform an operation on root (radicals)
Product of Square Roots
To solve this problem, we have to multiply the given square roots
[tex]\sqrt{30} * \sqrt{10} * 2\sqrt{10} * 3\sqrt{10} * 4\sqrt{10} * 3\sqrt{10}[/tex]
If we look at this problem, they all have the same root and this can easily be manipulated mathematically.
Note that
[tex]\sqrt{x} * \sqrt{x} = x[/tex]
Let's use this principle here
[tex]\sqrt{30} * \sqrt{10} * 2\sqrt{10} * 3\sqrt{10} * 4\sqrt{10} * 10\sqrt{3} = 72000\sqrt{10}[/tex]
The product of this radical is [tex]72000\sqrt{10}[/tex]
Learn more on product of radicals here;
https://brainly.com/question/8952483